Finite -supersoluble groups with some --supplemented subgroups
Changwen Li
Xuzhou Normal University, ChinaXiaolong Yu
University of Scinece and Technology of China, Hefei, Anhui, ChinaNa Tang
Huaiyin Normal University, China
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Abstract
Let be a subgroup of a group and denote the subgroup of generated by all those subgroups of which are -permutably embedded in . is said to be --supplemented in if there exists a subnormal subgroup of such that and . In this paper, we investigate the influence of some --supplemented subgroups on the structure of finite group. Some new characterizations of -supersoluble groups are obtained.
Cite this article
Changwen Li, Xiaolong Yu, Na Tang, Finite -supersoluble groups with some --supplemented subgroups. Rend. Sem. Mat. Univ. Padova 133 (2015), pp. 79–90
DOI 10.4171/RSMUP/133-3